Raymond Kelly will be unpaid for his advisory role at New York Gov. Andrew Cuomo’s proposed College of Homeland Security and Emergency Preparedness, Cuomo administration officials said.

Mr. Cuomo’s state budget proposal earmarks $15 million toward what the governor has described as “the nation’s first college dedicated solely to emergency preparedness and homeland security.” In Mr. Cuomo’s state of the state address last month, he announced that Mr. Kelly, the former New York City Police Department Commissioner, was recruited to be a “special advisor” for the school.

A Wall Street Journal story on Tuesday quoted lawmakers with concerns about the proposal, saying they have not been given enough information about it. A spokesman for Mr. Cuomo said the governor’s office has been in “constant contact with legislative leaders on this issue.”

Mr. Kelly’s pay and details of his role were not initially disclosed, but since then Cuomo administration officials told the Journal Mr. Kelly’s position is unpaid. A spokeswoman for Mr. Kelly did not immediately comment.

The proposed college has been championed by some lawmakers, but Assemblywoman Linda B. Rosenthal this month wrote a letter to Assembly Speaker Sheldon Silver advising Mr. Silver to reject Mr. Cuomo’s plan. “I cannot support this initiative until I have a better understanding of the proposal, its long-term cost and impact on existing programs,” she wrote.

Ms. Rosenthal is chair of the Assembly’s Commission on Science and Technology and, in the letter, provided input on sections of Mr. Cuomo’s budget proposal relevant to that commission, she said. The proposed college would offer cyber-security training, according to Mr. Cuomo’s proposal, among other education programs.

Ms. Rosenthal’s letter also expressed concerns that the college would be competing with John Jay College of Criminal Justice, a school in her district. “I am concerned about how this college will be integrated with existing related programs at campuses around the State,” she wrote. “For example, John Jay College of Criminal Justice … in my district offers a range of courses in Emergency Preparedness, Homeland Security.”

A Cuomo administration official said Ms. Rosenthal has not asked the governor’s office for information on the proposal or attended legislative hearings.

Ms. Rosenthal said she spoke to colleagues who had attended the hearings as well as Mr. Silver, and “that is our internal process.”